Question

Mr. Goldstein's is constructing a model of the school gym. The current height of the gym is estimated to be 24 feet tall. The model he makes will be 3 feet tall. By what percent did Mr. Goldstein decrease the size of the gym in order to make his model?

Answer 1

Answer:

89 feet tall and wide ☺️

Step-by-step explanation:

Answer 2

Answer:

87.5%

Step-by-step explanation:

We must first calculate the difference between the actual size and the model size before we can calculate the percent difference.

24ft - 3ft = 21ft

There is a 21ft difference, so now we need to ask: what fraction of 24 is 21?

To make this explanation thorough, let's create a simple equation.

21 = 24x

Where x represents the fraction of 24 that is 21.

Solving for x:

$x = \frac{21}{24} = 0.875$

So, 21 is 7/8 of 24, or 0.875. The question asks for a percentage, so we multiply our answer by 100, which yields 87.5%

Mr. Goldstein reduces the size of the gym by 21ft or 87.5% of the size.

We can also quickly double check our answer here:

$24 - (0.875 * 24) = 3$

The value checks out with the value given in the problem, and we are done!